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Finding the Fourth Proportional to 189,514.98, 261,188.12 and 157,078.78

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Solution

The fourth proportional to 189,514.98, 261,188.12 and 157,078.78 is: 216,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,514.98 : 261,188.12 = 157,078.78 : x
  2. Step 2: Convert to fraction form
    189,514.98/261,188.12 = 157,078.78/x
  3. Step 3: Cross multiply
    189,514.98x = 261,188.12 × 157,078.78
  4. Step 4: Simplify right side
    189,514.98x = 41,027,110,979.82
  5. Step 5: Solve for x
    x = 41,027,110,979.82/189,514.98
  6. Step 6: Final answer
    x = 216,484.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.